Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.

Intro Music Atribution
Title: I4dsong_loop_main.wav
Artist: CosmicD
Link to sound: http://www.freesound.org/peopl....e/CosmicD/sounds/725
Creative Commons Atribution License

All images are either Public Domain or Creative Commons Attribution Licenses:
"File:Frog in Frogspawn.jpg." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Frog_in_frogspaw
"File:Stress-coloured Brookesia Desperata Female with Two Recently Laid Eggs.png." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Stress-coloured_
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

According to our best theories of physics, the fundamental building blocks of matter are not particles, but continuous fluid-like substances known as 'quantum fields'. David Tong explains what we know about these fields, and how they fit into our understanding of the Universe.
Watch the Q&A here: https://youtu.be/QUMeKDlgKmk
Subscribe for regular science videos: http://bit.ly/RiSubscRibe

David Tong is a professor of theoretical physics at Cambridge University, specialising in quantum field theory.

The Ri is on Twitter: http://twitter.com/ri_science
and Facebook: http://www.facebook.com/royalinstitution
and Tumblr: http://ri-science.tumblr.com/
Our editorial policy: http://www.rigb.org/home/editorial-policy
Subscribe for the latest science videos: http://bit.ly/RiNewsletter

Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.

Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:

Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013

Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970

Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019

Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006

Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010

Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare

Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995

Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931

Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910

Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986

Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Written by Derek Muller, Adam Becker and Jonny Hyman
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jonny Hyman
Math City Animation by Another Angle 3D Visuals (www.anotherangle.ee)
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Music and SFX by Jonny Hyman Additional Music from Epidemic Sound
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
Associate Producers: Petr Lebedev and Emily Zhang

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀

This edition of #JournalistsHangout discusses the abduction of students in Kebbi state and other security challenges.

SUBSCRIBE to our YouTube channel for more great videos: http://www.youtube.com/tvcnewsnigeria

Follow us on Twitter: https://twitter.com/tvcnewsng

Like us on Facebook: https://www.facebook.com/tvcnewsng

For more great content go to https://tvcnews.tv

Download our mobile app for iPad, iPhone and Android at http://mobile.tvcnews.tv or go to the store

General Toussaint L'ouverture: What You Didn't Know About the Haitian Revolution with King Kevin Dorival http://www.kevindorival com

$Courage2believe - Gift for Professor Jean-Claude Exulien Donations can be mailed: PO Box 150071 Atlanta, GA. 30315#HaitianFlagDay #ToussaintLouverture #haitianrevolution

Brought you by [LIVE REPLAY] Emancipate Your Health From Mental Slavery: The Truth About Racism’s Invisible Harm https://bit.ly/3vTU4fk and 8-Part Healing Circle Series: https://bit.ly/3gi0mPQ
--------------

RELATED:
The State of Haiti with Dr. Bayyinah Bello https://bit.ly/3fXRTSM
Negative Epigenetics (How the Lie of Western Science Hijacked Our Cells and Health) https://bit.ly/3pzt9DP
Dr. Elaine Ferguson on Positive Epigenetics https://bit.ly/2R0ROUm
An Invitation to Emancipate Yourself from Mental Slavery with Dr. Elaine Ferguson https://bit.ly/3vahqgV

*************
Nothing Is Wrong With Black People...Something Happened to Black People by The Metaphysical Morpheus -- [NOW AVAILABLE ON] SPOTIFY https://spoti.fi/3mSnPIt, ITUNES & APPLE MUSIC https://apple.co/38wzebR, AMAZON MUSIC https://amzn.to/3pofTAy and IHEARTRADIO] ♫ https://ihr.fm/2NTxYsI
*************

[FREE WEBINAR] 1st Frequency Sudden Wealth Syndrome featuring Lord Jamar, Professor Kaba Hiawatha Kamnene and Special Guests https://bit.ly/3pQoMn8

Join the 1st Frequency of Oneness on Patreon! https://www.patreon.com/revshock

THE HIDDEN SIGNAL: The Metaphysical Frequencies of (RBF) Racial Battle Fatigue and the 4 Metaphysical Frequencies Framework By: Rev. Philippe SHOCK Matthews https://gum.co/HiddenSignal

#DrElaineFerguson #SuperHealing #Whiteness

Brought to you by Nothing Is Wrong With Black People...Something Happened to Black People [AVAILABLE ON] Spotify https://spoti.fi/3mSnPIt, ITUNES & APPLE MUSIC https://apple.co/38wzebR
----------
Bello is the mother of four, grandmother of 10 and great grandmother of 4. She first earned an Administrative degree at New York State University. Then went on to gain a B.S. in Education and an M.S. in Linguistics. Bello taught Arabic at Muhammad University of Islam. She discovered the joy of writing and published several language manuals and children's storybooks.

Bello has lived in Liberia, Nigeria and Togo. She’s visited all the West African countries and several others on the continent. Back in the United States Bello worked as a publicist for the Museum of Natural History.

After gaining a Masters Degree in Primary Education and more teaching experience, Bello returned to Haiti. There, she taught the Hausa language and culture at the State University of Haiti. She also founded the ‘Citadelle International School,’ a bilingual school for Primary & Secondary aged children, aiming to aid young Haitians returning home to adapt.

Professor Bello teaches anthropology at the State University of Haiti. She is among the few professional educators to have dedicated her life’s work to the struggle for human rights and dignity for our peoples across the planet. A humanitarian and advocate, Professor Bello continues to contribute time and resources to assist in the development of programs based on a procedure she conceived. It states that the greatest knowledge is the knowledge of Self. Once one has developed the knowledge of Self one has no basis to envy another, to desire that which is not naturally yours, to promote or practice corruption; …one is empowered to generate reciprocity which is the foundation from which springs abundance and prosperity. Professor Bello is fluent in Haitian Kreyòl, French, English, Arabic and Hausa. She is currently working as Professor at the State University of Haiti.

Professor Bello was featured as a leading Haiti scholar and historian in the documentary 1804: The Hidden History of Haiti.

Publications: 1970, Beautiful Black Words for Beautiful Black Children, AMA Publishers; countless articles on History, Women, Vodoun, Education & Culture in magazines and journals in Afrika, the Caraibes & the United States; 1995, Almanak Ayisyen/Ayitian Calendar 1995; 1995 Héritage Maternel, poems on audio cassette; 2000, Mwen Rele Kanis Ogis, autobiography of a 123-year-old man; 2015, Bio of Jean-Jacques Dessalines, and Sheroes of the Haitian Revolution published by Thorobred Books.

Professor Bello is committed to achieving the primary goal of FONDASYON FELICITEE which she founded to develop a liberating educational system beneficial to all those affected by the Maafa.

www.fondasyonfelicitee.com

RELATED:
Part 1 - Queen Diambi Kabatusuila Tshiyoyo Muata of the Congo https://bit.ly/3aCtpvf
Dr. Baba Buntu (Ebukhosini) on the Philippe Matthews Show https://bit.ly/39vx7Gw
His Majesty King Bhungane III https://bit.ly/3u9XAS1
Black Heros Matter (Jean Baptiste Pointe DuSable) with Ephraim Martin https://bit.ly/2OO7R71
Africa 101 with Her Excellency, Ambassador Dr. Arikana Chihombori-Quao https://bit.ly/2TEarvG

****************
One-time Donation to the PM Show https://goo.gl/YDJQGB
Monthly Donation to the PM Show https://goo.gl/o8rsnt

**********
STREAMING NOW…

Nothing Is Wrong With Black People...Something Happened to Black People by The Metaphysical Morpheus -- [NOW AVAILABLE ON] Spotify https://spoti.fi/3mSnPIt, ITUNES & APPLE MUSIC https://apple.co/38wzebR, AMAZON MUSIC https://amzn.to/3pofTAy, and IHEARTRADIO] ♫ https://ihr.fm/2NTxYsI
**********

THE EXTRAS:

1ST FREQUENCY OF ONENESS ON PATREON
https://www.patreon.com/revshock

1STFREQUENCY OF ONENESS FREE INFINITY ECOURSE:
www.1stFrequency.com

THE BLACK ROOM:
www.OurBlackRoom.com

DIGITALNOMICS FREE WEBINAR:
www.DigitalnomicsFreeWebinar.com